6) An accounting firm tested two spreadsheet applications to determine whether there is difference between them in the mean speed with which a standard accounting problem can be solved. The times ( in minutes) needed for each of twelve accountants to solve the problems are as follows: accountant application 1 2 3 5 6 7 8 9 10 11 12 34 45 35 48 49 33 31 38 A 42 B 50 43 48 31 39 56 45 60 46 47 33 50 a) Test a claim with significant level of 0.05 that there is significant difference in mean time for application A and B to solve accounting problems. Are the samples dependent or independent? Define populations or the difference (d). Write claim, HO and Ha in symbolic form. Find test statistic and p-value. State initial conclusion about HO: State the final conclusion about the claim: b) Construct a 95% confidence interval for the difference in mean time to solve accounting problems between Application A and B. c) Since the Confidence interval (includeot include) zero, we can conclude that there (is / is not) significant difference in mean time to solve accounting problem between application A and B